High School

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On his first day of school, Kareem found the high temperature in degrees Fahrenheit to be [tex]76.1^{\circ}[/tex]. He plans to use the function [tex]C(F)=\frac{5}{9}(F-32)[/tex] to convert this temperature from degrees Fahrenheit to degrees Celsius.

What does [tex]C(76.1)[/tex] represent?

A. The temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.

B. The temperature of 76.1 degrees Celsius converted to degrees Fahrenheit.

C. The amount of time it takes for a temperature of 76.1 degrees Fahrenheit to be converted to 32 degrees Celsius.

D. The amount of time it takes for a temperature of 76.1 degrees Celsius to be converted to 32 degrees Fahrenheit.

Answer :

To solve this problem, we're using Kareem's function to convert temperatures from degrees Fahrenheit to degrees Celsius. The function given is:

[tex]\[ C(F) = \frac{5}{9} \times (F - 32) \][/tex]

Here, [tex]\( F \)[/tex] represents the temperature in degrees Fahrenheit, and [tex]\( C(F) \)[/tex] provides the temperature in degrees Celsius.

The temperature we need to convert is 76.1 degrees Fahrenheit. We substitute this value into the function:

1. Subtract 32 from the Fahrenheit temperature:
[tex]\( F = 76.1 \)[/tex]
Perform the subtraction:
[tex]\[ F - 32 = 76.1 - 32 = 44.1 \][/tex]

2. Multiply the result by [tex]\(\frac{5}{9}\)[/tex] to convert to Celsius:
Multiply 44.1 by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[ \frac{5}{9} \times 44.1 \approx 24.5 \][/tex]

Thus, [tex]\( C(76.1) \)[/tex] represents the temperature in degrees Celsius equivalent to 76.1 degrees Fahrenheit. The correct interpretation in the original list of options is:

- The temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.

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